ABC26GN0024 · If the number 3422213pq is divisible by 99, find the missing digits p and q.
ABC26GN0076 · 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, ldots is · 2005
ABC26GN0077 · If x, y, z be the digits of a number beginning from the left, the number is
ABC26GN0026 · Find the smallest number to be added to 1000 so that 45 divides the sum exactly.
ABC26GN0078 · If x, y, z and w be the digits of a number beginning from the left, the number is
ABC26GN0027 · What least number must be subtracted from 2000 to get a number exactly divisible by 17?
ABC26GN0079 · If n and p are both odd numbers, which of the following is an even number?
ABC26GN0028 · Find the number which is nearest to 3105 and is exactly divisible by 21.
ABC26GN0080 · For the integer n, if n3 is odd, then which of the following statements are true? I. n is odd. II. n2 is odd. III. n2 is even.
ABC26GN0029 · Find the smallest number of five digits which is exactly divisible by 476.
ABC26GN0081 · If (n-1) is an odd number, what are the two other odd numbers nearest to it?
ABC26GN0030 · Find the greatest number of five digits which is exactly divisible by 47.
ABC26GN0082 · Which of the following is always odd?
ABC26GN0031 · When a certain number is multiplied by 13, the product consists entirely of fives. Find the smallest such number. self-practice
ABC26GN0083 · If x is an odd integer, then which of the following is true?
ABC26GN0032 · When a certain number is multiplied by 18, the product consists entirely of 2's. What is the minimum number of 2's in the product?
ABC26GN0084 · If a and b are two numbers such that a b=0, then · 2006
ABC26GN0033 · Find the smallest number which when multiplied by 9 gives the product as 1 followed by a certain number of 7s only.
ABC26GN0085 · If A, B, C, D are numbers in increasing order and D, B, E are numbers in decreasing order, then which one of the following sequences need…
ABC26GN0086 · If m, n, o, p and q are integers, then m (n + o) (p – q) must be even when which of the following is even?
ABC26GN0035 · Find the unit's digit in the product (2467)153 imes (341)72.
ABC26GN0087 · If n is a negative number, then which of the following is the least?
ABC26GN0036 · Find the unit's digit in (264)102+(264)103.
ABC26GN0088 · If x – y = 8, then which of the following must be true? I. Both x and y are positive. II. If x is positive, y must be positive. III. If x…
ABC26GN0037 · Find the total number of prime factors in the expression (4)11 (7)5 (11)2.
ABC26GN0089 · If x and y are negative, then which of the following statements is/are always true? I. x + y is positive. II. xy is positive. III. x – y is…
ABC26GN0038 · What is the number of zeros at the end of the product of the numbers from 1 to 100?
ABC26GN0090 · If n = 1 + x, where x is the product of four consecu- tive positive integers, then which of the following is/are true? I. n is odd. II. n…
ABC26GN0039 · What is the number of zeros at the end of the product 55 1010 1515 . . 125125 ?
ABC26GN0040 · On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the divisor.
ABC26GN0092 · If x is a rational number and y is an irrational number, then
ABC26GN0041 · A number when divided by 114, leaves remainder 21. If the same number is divided by 19, find the remainder. · 2010
ABC26GN0093 · The difference between the square of any two consecutive integers is equal to
ABC26GN0042 · A number being successively divided by 3, 5 and 8 leaves remainders 1, 4 and 7 respectively. Find the respective remainders if the order of…
ABC26GN0094 · Between two distinct rational numbers a and b, there exists another rational number which is · 2006
ABC26GN0043 · Three boys A, B, C were asked to divide a certain number by 1001 by the method of factors. They took the factors in the orders 13, 11, 7…
ABC26GN0095 · If B>A, then which expression will have the highest value (given that A and B are positive integers)? · 2007
ABC26GN0044 · In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, determine the dividend.
ABC26GN0096 · If 0<x<1, which of the following is greatest? · 2007
ABC26GN0045 · If three times the larger of the two numbers is divided by the smaller one, we get 4 as quotient and 3 as remainder. Also, if seven times…
ABC26GN0097 · If p is a positive fraction less than 1 , then
ABC26GN0046 · A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, find the remainder.
ABC26GN0098 · If x is a real number, then x2+x+1 is
ABC26GN0047 · Find the remainder when 96+7 is divided by 8.
ABC26GN0099 · Let n be a natural number such that 1/2+1/3+1/7+1/n is also a natural number. Which of the following statements is not true? · 2009
ABC26GN0048 · Find the remainder when (397)3589+5 is divided by 398.
ABC26GN0100 · If n is an integer, how many values of n will give an integral value of (16 n2+7 n+6n ) ?
ABC26GN0049 · If 7126 is divided by 48, find the remainder.